Atkin-Lehner |
2- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117208l |
Isogeny class |
Conductor |
117208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
629760 |
Modular degree for the optimal curve |
Δ |
1800407622470912 = 28 · 77 · 135 · 23 |
Discriminant |
Eigenvalues |
2- 2 -2 7- -3 13+ -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57689,4946285] |
[a1,a2,a3,a4,a6] |
Generators |
[103:294:1] |
Generators of the group modulo torsion |
j |
704988556288/59778173 |
j-invariant |
L |
7.1067755080037 |
L(r)(E,1)/r! |
Ω |
0.45884308944705 |
Real period |
R |
1.9360581981265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000152224 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16744h1 |
Quadratic twists by: -7 |